A weighted a priori estimate in rectifiable domains of local Lyapunov-Dini type

zbMath1330.35090MaRDI QIDQ890905

Anton Igor'evich Parfënov

Publication date: 16 November 2015

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: http://semr.math.nsc.ru/v9/p65-150.pdf

zbMATH Keywords

discretizationweighted Sobolev spacePoisson equationMuckenhoupt weightpointwise multiplierpower weightdyadic cubeLyapunov-Dini domainstraightenable domain

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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